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Finding the Third Proportional to 104,206.50 and 219,894.75

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Solution

The third proportional to 104,206.50 and 219,894.75 is: 464,018.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,206.50 : 219,894.75 = 219,894.75 : x
  2. Step 2: Convert to fraction form
    104,206.50/219,894.75 = 219,894.75/x
  3. Step 3: Cross multiply
    104,206.50x = 219,894.75 × 219,894.75
  4. Step 4: Simplify right side
    104,206.50x = 48,353,701,077.56
  5. Step 5: Solve for x
    x = 48,353,701,077.56/104,206.50
  6. Step 6: Final answer
    x = 464,018.09

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.